Question 113
Five points $A,B,C,D,E$ lie in this order on a circle. Suppose lines $BC$ and $DE$ meet at $F$, that $F$ and $A$ lie on opposite sides of line $BE$, and that the circumcircle of triangle $BFE$ is tangent to line $AE$ at $E$.
a. Prove that $AC$ and $DE$ are parallel.
b. Prove that $AE=CD$.
a. Prove that $AC$ and $DE$ are parallel.
b. Prove that $AE=CD$.